Finding the Third Proportional to 300,344 and 647,056

Step by Step Solution

1. Step 1: Write the proportion equation
   300,344 : 647,056 = 647,056 : x
2. Step 2: Convert to fraction form
   300,344/647,056 = 647,056/x
3. Step 3: Cross multiply
   300,344x = 647,056 × 647,056
4. Step 4: Simplify right side
   300,344x = 418,681,467,136
5. Step 5: Solve for x
   x = 418,681,467,136/300,344
6. Step 6: Final answer
   x = 1,394,006.43